anonymous
  • anonymous
Which of the following equations has only one solution? a) x^2 = 9 b) x(x - 1) = 9 c) x^2 - 6x + 9 = 0
Mathematics
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anonymous
  • anonymous
Which of the following equations has only one solution? a) x^2 = 9 b) x(x - 1) = 9 c) x^2 - 6x + 9 = 0
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
C has only one solution. A is solved by taking the square root of both sides, which gives x= 3 or -3 B can be rewritten in quadratic form, giving x^2-x-9=0, and the solutions after a bit of work are 1/2(1+/- sqrt(37)) But the hard work of B can be skipped by factoring C, which factors to (x-3)^2 or x=3
anonymous
  • anonymous
edit- B's solutions are, to be precise: \[(1/2)(1\pm \sqrt{37})\]
anonymous
  • anonymous
you can also check the discriminant which is b^2-4ac and if it equals 0 it has one solution

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